<TeXmacs|2.1.2>

<style|<tuple|exam|std-latex|chinese>>

<\body>
  <doc-data|<doc-title|2022\<#5E74\>\<#6570\>\<#5B66\>\<#5168\>\<#56FD\>\<#4E59\>\<#5377\>\<#FF08\>\<#7406\>\<#79D1\>\<#FF09\>>>

  \<#4E00\>\<#3001\>\<#5355\>\<#9009\>\<#9898\>\<#FF08\>\<#672C\>\<#5927\>\<#9898\>\<#5171\>12\<#5C0F\>\<#9898\>\<#FF0C\>\<#5171\>60\<#5206\>\<#FF09\>

  <\enumerate-numeric>
    <item>\<#8BBE\>\<#5168\>\<#96C6\><math|U=<around|{|1,2,3,4,5|}>>\<#FF0C\>\<#96C6\>\<#5408\><math|M>\<#6EE1\>\<#8DB3\><math|\<complement\><rsub|U>*M=<around|{|1,3|}>>\<#FF0C\>\<#5219\>

    <tabular*|<tformat|<cwith|1|-1|1|-1|cell-valign|c>|<twith|table-width|1par>|<twith|table-hmode|exact>|<cwith|1|1|1|-1|cell-halign|l>|<table|<row|<cell|A.
    <math|2\<in\>M>>|<cell|B. <math|3\<in\>M>>|<cell|C.
    <math|4*\<nin\>M>>|<cell|D. <math|5*\<nin\>M>>>>>>

    <item>\<#5DF2\>\<#77E5\><math|z=1-2*i>\<#FF0C\>\<#4E14\><math|z+a*<wide|z|\<bar\>>+b=0>\<#FF0C\>\<#5176\>\<#4E2D\><math|a>\<#FF0C\><math|b>\<#4E3A\>\<#5B9E\>\<#6570\>\<#FF0C\>\<#5219\>

    <tabular*|<tformat|<cwith|1|-1|1|-1|cell-valign|c>|<twith|table-width|1par>|<twith|table-hmode|exact>|<cwith|1|1|1|-1|cell-halign|l>|<cwith|2|2|1|2|cell-valign|c>|<cwith|2|2|1|2|cell-halign|l>|<table|<row|<cell|A.
    <math|a=1>\<#FF0C\><math|b=-2>>|<cell|B.
    <math|a=-1>\<#FF0C\><math|b=2>>>|<row|<cell|C.
    <math|a=1>\<#FF0C\><math|b=2>>|<cell|D.
    <math|a=-1>\<#FF0C\><math|b=-2>>>>>>

    <item>\<#5DF2\>\<#77E5\>\<#5411\>\<#91CF\><math|a>\<#FF0C\><math|b>\<#6EE1\>\<#8DB3\><math|<around|\||<wide|a|\<wide-varrightarrow\>>|\|>=1>\<#FF0C\><math|<around|\||<wide|b|\<wide-varrightarrow\>>|\|>=<sqrt|3>>\<#FF0C\><math|<around|\||<wide|a|\<wide-varrightarrow\>>-2*<wide|b|\<wide-varrightarrow\>>|\|>=3>\<#FF0C\>\<#5219\><math|<wide|a|\<wide-varrightarrow\>>*\<cdot\>*<wide|b|\<wide-varrightarrow\>>=>

    <tabular*|<tformat|<cwith|1|-1|1|-1|cell-valign|c>|<twith|table-width|1par>|<twith|table-hmode|exact>|<cwith|1|1|1|-1|cell-halign|l>|<table|<row|<cell|A.
    <math|-2>>|<cell|B. <math|-1>>|<cell|C. <math|1>>|<cell|D. <math|2>>>>>>

    <item>\<#5AE6\>\<#5A25\>\<#4E8C\>\<#53F7\>\<#536B\>\<#661F\>\<#5728\>\<#5B8C\>\<#6210\>\<#63A2\>\<#6708\>\<#4EFB\>\<#52A1\>\<#540E\>\<#FF0C\>\<#7EE7\>\<#7EED\>\<#8FDB\>\<#884C\>\<#6DF1\>\<#7A7A\>\<#63A2\>\<#6D4B\>\<#FF0C\>\<#6210\>\<#4E3A\>\<#6211\>\<#56FD\>\<#7B2C\>\<#4E00\>\<#9897\>\<#73AF\>\<#7ED5\>\<#592A\>\<#9633\>\<#98DE\>\<#884C\>\<#7684\>\<#4EBA\>\<#9020\>\<#884C\>\<#661F\>.\<#4E3A\>\<#7814\>\<#7A76\>\<#5AE6\>\<#5A25\>\<#4E8C\>\<#53F7\>\<#7ED5\>\<#65E5\>\<#5468\>\<#671F\>\<#4E0E\>\<#5730\>\<#7403\>\<#7ED5\>\<#65E5\>\<#5468\>\<#671F\>\<#7684\>\<#6BD4\>\<#503C\>\<#FF0C\>\<#7528\>\<#5230\>\<#6570\>\<#5217\><math|<around|{|b<rsub|n>|}>:b<rsub|1>=1+<frac|1|\<alpha\><rsub|1>>>\<#FF0C\><math|b<rsub|2>=1+<frac|1|\<alpha\><rsub|1>+<frac|1|\<alpha\><rsub|2>>>>\<#FF0C\><math|b<rsub|3>=1+<frac|1|\<alpha\><rsub|1>+<frac|1|\<alpha\><rsub|2>+<frac|1|\<alpha\><rsub|3>>>>>\<#FF0C\>\<cdots\>\<#FF0C\>\<#4F9D\>\<#6B64\>\<#7C7B\>\<#63A8\>\<#FF0C\>\<#5176\>\<#4E2D\><math|\<alpha\><rsub|k>\<in\>N<rsup|\<ast\>>(k=1,2,\<cdots\>)>.\<#5219\>

    <tabular*|<tformat|<cwith|1|-1|1|-1|cell-valign|c>|<twith|table-width|1par>|<twith|table-hmode|exact>|<cwith|1|1|1|-1|cell-halign|l>|<table|<row|<cell|A.
    <math|b<rsub|1>\<less\>b<rsub|5>>>|<cell|B.
    <math|b<rsub|3>\<less\>b<rsub|s>>>|<cell|C.
    <math|b<rsub|6>\<less\>b<rsub|2>>>|<cell|D.
    <math|b<rsub|4>\<less\>b<rsub|7>>>>>>>

    <item>\<#8BBE\><math|F>\<#4E3A\>\<#629B\>\<#7269\>\<#7EBF\><math|C:y<rsup|2>=4*x>\<#7684\>\<#7126\>\<#70B9\>\<#FF0C\>\<#70B9\><math|A>\<#5728\><math|C>\<#4E0A\>\<#FF0C\>\<#70B9\><math|B*<around|(|3,0|)>>\<#FF0C\>\<#82E5\><math|<around|\||A*F|\|>=<around|\||B*F|\|>>\<#FF0C\>\<#5219\><math|<around|\||A*B|\|>=>

    <tabular*|<tformat|<cwith|1|-1|1|-1|cell-valign|c>|<twith|table-width|1par>|<twith|table-hmode|exact>|<cwith|1|1|1|-1|cell-halign|l>|<table|<row|<cell|A.
    <math|2>>|<cell|B. <math|2*<sqrt|2>>>|<cell|C. <math|3>>|<cell|D.
    <math|3*<sqrt|2>>>>>>>

    <item>\<#6267\>\<#884C\>\<#53F3\>\<#8FB9\>\<#7684\>\<#7A0B\>\<#5E8F\>\<#6846\>\<#56FE\>\<#FF0C\>\<#8F93\>\<#51FA\>\<#7684\><math|n=>

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    <tabular*|<tformat|<cwith|1|-1|1|-1|cell-valign|c>|<twith|table-width|1par>|<twith|table-hmode|exact>|<cwith|1|1|1|-1|cell-halign|l>|<table|<row|<cell|A.
    <math|3>>|<cell|B. <math|4>>|<cell|C. <math|5>>|<cell|D. <math|6>>>>>>

    <item>\<#5728\>\<#6B63\>\<#65B9\>\<#4F53\><math|A*B*C*D-A<rsub|1>*B<rsub|1>*C<rsub|1>*D<rsub|1>>\<#4E2D\>\<#FF0C\><math|E>\<#FF0C\><math|F>\<#5206\>\<#522B\>\<#4E3A\><math|A*B>\<#FF0C\><math|B*C>\<#7684\>\<#4E2D\>\<#70B9\>\<#FF0C\>\<#5219\>

    <tabular*|<tformat|<cwith|1|-1|1|-1|cell-valign|c>|<cwith|2|2|1|2|cell-valign|c>|<twith|table-width|1par>|<twith|table-hmode|exact>|<cwith|1|-1|1|-1|cell-halign|l>|<table|<row|<cell|A.
    \<#5E73\>\<#9762\><math|B<rsub|1>*E*F*\<bot\>>\<#5E73\>\<#9762\><math|B*D*D<rsub|1>>>|<cell|B.
    \<#5E73\>\<#9762\><math|B<rsub|1>*E*F*\<bot\>>\<#5E73\>\<#9762\><math|A<rsub|1>*B*D>>>|<row|<cell|C.
    \<#5E73\>\<#9762\><math|B<rsub|1>*E*F//>\<#5E73\>\<#9762\><math|A<rsub|1>*A*C>>|<cell|D.
    \<#5E73\>\<#9762\><math|B<rsub|1>*E*F//>\<#5E73\>\<#9762\><math|A<rsub|1>*C<rsub|1>*D>>>>>>

    <item>\<#5DF2\>\<#77E5\>\<#7B49\>\<#6BD4\>\<#6570\>\<#5217\><math|<around|{|a<rsub|n>|}>>\<#7684\>\<#524D\><math|3>\<#9879\>\<#548C\>\<#4E3A\><math|168>\<#FF0C\><math|a<rsub|2>-a<rsub|5>=42>\<#FF0C\>\<#5219\><math|a<rsub|6>=>

    <tabular*|<tformat|<cwith|1|-1|1|-1|cell-valign|c>|<twith|table-width|1par>|<twith|table-hmode|exact>|<cwith|1|1|1|-1|cell-halign|l>|<table|<row|<cell|A.
    <math|14>>|<cell|B. <math|12>>|<cell|C. <math|6>>|<cell|D. <math|3>>>>>>

    <item>\<#5DF2\>\<#77E5\>\<#7403\><math|O>\<#7684\>\<#534A\>\<#5F84\>\<#4E3A\><math|1>\<#FF0C\>\<#56DB\>\<#68F1\>\<#9525\>\<#7684\>\<#9876\>\<#70B9\>\<#4E3A\><math|O>\<#FF0C\>\<#5E95\>\<#9762\>\<#7684\>\<#56DB\>\<#4E2A\>\<#9876\>\<#70B9\>\<#5747\>\<#5728\>\<#7403\><math|O>\<#7684\>\<#7403\>\<#9762\>\<#4E0A\>\<#FF0C\>\<#5219\>\<#5F53\>\<#8BE5\>\<#56DB\>\<#68F1\>\<#9525\>\<#7684\>\<#4F53\>\<#79EF\>\<#6700\>\<#5927\>\<#65F6\>\<#FF0C\>\<#5176\>\<#9AD8\>\<#4E3A\>

    <tabular*|<tformat|<cwith|1|-1|1|-1|cell-valign|c>|<twith|table-width|1par>|<twith|table-hmode|exact>|<cwith|1|1|1|-1|cell-halign|l>|<table|<row|<cell|A.
    <math|<frac|1|3>>>|<cell|B. <math|<frac|1|2>>>|<cell|C.
    <math|<frac|<sqrt|3>|3>>>|<cell|D. <math|<frac|<sqrt|2>|2>>>>>>>

    <item>\<#67D0\>\<#68CB\>\<#624B\>\<#4E0E\>\<#7532\>\<#3001\>\<#4E59\>\<#3001\>\<#4E19\>\<#4E09\>\<#4F4D\>\<#68CB\>\<#624B\>\<#5404\>\<#6BD4\>\<#8D5B\>\<#4E00\>\<#76D8\>\<#FF0C\>\<#5404\>\<#76D8\>\<#6BD4\>\<#8D5B\>\<#7ED3\>\<#679C\>\<#76F8\>\<#4E92\>\<#72EC\>\<#7ACB\>.\<#5DF2\>\<#77E5\>\<#8BE5\>\<#68CB\>\<#624B\>\<#4E0E\>\<#7532\>\<#3001\>\<#4E59\>\<#3001\>\<#4E19\>\<#6BD4\>\<#8D5B\>\<#83B7\>\<#80DC\>\<#7684\>\<#6982\>\<#7387\>\<#5206\>\<#522B\>\<#4E3A\><math|p<rsub|1>>\<#FF0C\><math|p<rsub|2>>\<#FF0C\><math|p<rsub|3>>\<#FF0C\>\<#4E14\><math|p<rsub|3>\<gtr\>p<rsub|2>\<gtr\>p<rsub|1>\<gtr\>0>.\<#8BB0\>\<#8BE5\>\<#68CB\>\<#624B\>\<#8FDE\>\<#80DC\>\<#4E24\>\<#76D8\>\<#7684\>\<#6982\>\<#7387\>\<#4E3A\><math|p>\<#FF0C\>\<#5219\>

    A. <math|p>\<#4E0E\>\<#8BE5\>\<#68CB\>\<#624B\>\<#548C\>\<#7532\>\<#3001\>\<#4E59\>\<#3001\>\<#4E19\>\<#7684\>\<#6BD4\>\<#8D5B\>\<#6B21\>\<#5E8F\>\<#65E0\>\<#5173\>

    B. \<#8BE5\>\<#68CB\>\<#624B\>\<#5728\>\<#7B2C\>\<#4E8C\>\<#76D8\>\<#4E0E\>\<#7532\>\<#6BD4\>\<#8D5B\>\<#FF0C\><math|p>\<#6700\>\<#5927\>

    C. \<#8BE5\>\<#68CB\>\<#624B\>\<#5728\>\<#7B2C\>\<#4E8C\>\<#76D8\>\<#4E0E\>\<#4E59\>\<#6BD4\>\<#8D5B\>\<#FF0C\><math|p>\<#6700\>\<#5927\>

    D. \<#8BE5\>\<#68CB\>\<#624B\>\<#5728\>\<#7B2C\>\<#4E8C\>\<#76D8\>\<#4E0E\>\<#4E19\>\<#6BD4\>\<#8D5B\>\<#FF0C\><math|p>\<#6700\>\<#5927\>

    <item>\<#5BF9\>\<#66F2\>\<#7EBF\><math|C>\<#7684\>\<#4E24\>\<#4E2A\>\<#7126\>\<#70B9\>\<#4E3A\><math|F<rsub|1>>\<#FF0C\><math|F<rsub|2>>\<#FF0C\>\<#4EE5\><math|C>\<#7684\>\<#5B9E\>\<#8F74\>\<#4E3A\>\<#76F4\>\<#5F84\>\<#7684\>\<#5706\>\<#8BB0\>\<#4E3A\><math|D>\<#FF0C\>\<#8FC7\><math|F<rsub|1>>\<#4F5C\><math|D>\<#7684\>\<#5207\>\<#7EBF\>\<#4E0E\><math|C>\<#4EA4\>\<#4E8E\><math|M>\<#FF0C\><math|N>\<#4E24\>\<#70B9\>\<#FF0C\>\<#4E14\><math|<math-up|cos>\<angle\>*F<rsub|1>*N*F<rsub|2>=<frac|3|5>>\<#FF0C\>\<#5219\><math|C>\<#7684\>\<#79BB\>\<#5FC3\>\<#7387\>\<#4E3A\>

    <tabular*|<tformat|<cwith|1|-1|1|-1|cell-valign|c>|<twith|table-width|1par>|<twith|table-hmode|exact>|<cwith|1|1|1|-1|cell-halign|l>|<table|<row|<cell|A.
    <math|<frac|<sqrt|5>|2>>>|<cell|B. <math|<frac|3|2>>>|<cell|C.
    <math|<frac|<sqrt|13>|2>>>|<cell|D. <math|<frac|<sqrt|17>|2>>>>>>>

    <item>\<#5DF2\>\<#77E5\>\<#51FD\>\<#6570\><math|f<around|(|x|)>>\<#FF0C\><math|g<around|(|x|)>>\<#7684\>\<#5B9A\>\<#4E49\>\<#57DF\>\<#5747\>\<#4E3A\><math|R>\<#FF0C\>\<#4E14\><math|f<around|(|x|)>+g*<around|(|2-x|)>=5>\<#FF0C\>
    <math|g<around|(|x|)>-f*<around|(|x-4|)>=7>\<#FF0C\>
    \<#82E5\><math|y=g<around|(|x|)>>\<#7684\>\<#56FE\>\<#50CF\>\<#5173\>\<#4E8E\>\<#76F4\>\<#7EBF\><math|x=2>\<#5BF9\>\<#79F0\>\<#FF0C\><math|g<around|(|2|)>=4>\<#FF0C\>
    \<#5219\><math|<big|sum><rsup|22><rsub|k=1>f<around|(|k|)>=>

    <tabular*|<tformat|<cwith|1|-1|1|-1|cell-valign|c>|<twith|table-width|1par>|<twith|table-hmode|exact>|<cwith|1|1|1|-1|cell-halign|l>|<table|<row|<cell|A.
    <math|-21>>|<cell|B. <math|-22>>|<cell|C. <math|-23>>|<cell|D.
    <math|-24>>>>>>
  </enumerate-numeric>

  \<#4E8C\>\<#3001\>\<#586B\>\<#7A7A\>\<#9898\>\<#FF08\>\<#672C\>\<#5927\>\<#9898\>\<#5171\>4\<#5C0F\>\<#9898\>\<#FF0C\>\<#5171\>20.0\<#5206\>\<#FF09\>

  <\enumerate-numeric>
    <assign|item-nr|12><item>\<#4ECE\>\<#7532\>\<#3001\>\<#4E59\>\<#7B49\><math|5>\<#540D\>\<#540C\>\<#5B66\>\<#4E2D\>\<#968F\>\<#673A\>\<#9009\><math|3>\<#540D\>\<#53C2\>\<#52A0\>\<#793E\>\<#533A\>\<#670D\>\<#52A1\>\<#5DE5\>\<#4F5C\>\<#FF0C\>\<#5219\>\<#7532\>\<#3001\>\<#4E59\>\<#90FD\>\<#5165\>\<#9009\>\<#7684\>\<#6982\>\<#7387\>\<#4E3A\><underline|<space|2cm>>\<#FF0E\>

    <item>\<#8FC7\>\<#56DB\>\<#70B9\><math|<around|(|0,0|)>>\<#FF0C\><math|<around|(|4,0|)>>\<#FF0C\><math|<around|(|-1,1|)>>\<#FF0C\><math|<around|(|4,2|)>>\<#4E2D\>\<#7684\>\<#4E09\>\<#70B9\>\<#7684\>\<#4E00\>\<#4E2A\>\<#5706\>\<#7684\>\<#65B9\>\<#7A0B\>\<#4E3A\><underline|<space|2cm>>\<#FF0E\>

    <item>\<#8BB0\>\<#51FD\>\<#6570\><math|f<around|(|x|)>=<math-up|cos><around|(|\<omega\>*x+\<varphi\>|)>*<around|(|\<omega\>\<gtr\>0,0\<less\>\<varphi\>\<less\>\<pi\>|)>>\<#7684\>\<#6700\>\<#5C0F\>\<#6B63\>\<#5468\>\<#671F\>\<#4E3A\><math|T>\<#FF0C\>\<#82E5\><math|f<around|(|T|)>=<frac|<sqrt|3>|2>>\<#FF0C\><math|x=<frac|\<pi\>|9>>\<#4E3A\><math|f<around|(|x|)>>\<#7684\>\<#96F6\>\<#70B9\>\<#FF0C\>\<#5219\><math|\<omega\>>\<#7684\>\<#6700\>\<#5C0F\>\<#503C\>\<#4E3A\><underline|<space|2cm>>\<#FF0E\>

    <item>\<#5DF2\>\<#77E5\><math|x=x<rsub|1>>\<#548C\><math|x=x<rsub|2>>\<#5206\>\<#522B\>\<#662F\>\<#51FD\>\<#6570\><math|f<around|(|x|)>=2*a<rsup|x>-e*x<rsup|2>(a\<gtr\>0>\<#4E14\><math|a\<neq\>1)>\<#7684\>\<#6781\>\<#5C0F\>\<#503C\>\<#70B9\>\<#548C\>\<#6781\>\<#5927\>\<#503C\>\<#70B9\>\<#FF0C\>\<#82E5\><math|x<rsub|1>\<less\>x<rsub|2>>\<#FF0C\>\<#5219\><math|a>\<#7684\>\<#53D6\>\<#503C\>\<#8303\>\<#56F4\>\<#662F\><underline|<space|2cm>>.
  </enumerate-numeric>

  \<#4E09\>\<#3001\>\<#89E3\>\<#7B54\>\<#9898\>\<#FF08\>\<#672C\>\<#5927\>\<#9898\>\<#5171\>7\<#5C0F\>\<#9898\>\<#FF0C\>\<#5171\>80\<#5206\>\<#FF09\>

  \ (\<#4E00\>) \ \<#5FC5\>\<#8003\>\<#9898\>\<#FF1A\>\<#5171\> 60 \<#5206\>.

  <\enumerate-numeric>
    <assign|item-nr|16><item>\<#8BB0\><math|\<Delta\>*A*B*C>\<#7684\>\<#5185\>\<#89D2\><math|A>\<#3001\><math|B>\<#3001\><math|C>\<#7684\>\<#5BF9\>\<#8FB9\>\<#5206\>\<#522B\>\<#4E3A\><math|a>\<#3001\><math|b>\<#3001\><math|c>\<#FF0C\>\<#5DF2\>\<#77E5\><math|<math-up|sin>C<math-up|sin><around|(|A-B|)>=<math-up|sin>B<math-up|sin><around|(|C-A|)>>\<#FF0E\>

    (1)\<#8BC1\>\<#660E\>\<#FF1A\><math|2*a<rsup|2>=b<rsup|2>+c<rsup|2>>;

    (2)\<#82E5\><math|a=5>\<#FF0C\><math|<math-up|cos>A=<frac|25|31>>\<#FF0C\>\<#6C42\><math|\<Delta\>*A*B*C>\<#7684\>\<#5468\>\<#957F\>\<#FF0E\><vspace|5cm>

    <item>\<#5982\>\<#56FE\>\<#FF0C\>\<#56DB\>\<#9762\>\<#4F53\><math|A*B*C*D>\<#4E2D\><math|A*D*\<bot\>*C*D>\<#FF0C\><math|A*D=C*D>\<#FF0C\><math|\<angle\>*A*D*B=\<angle\>*B*D*C>\<#FF0C\><math|E>\<#4E3A\><math|A*C>\<#4E2D\>\<#70B9\>\<#FF0E\>

    (1)\<#8BC1\>\<#660E\>\<#FF1A\>\<#5E73\>\<#9762\><math|B*E*D*\<bot\>>\<#5E73\>\<#9762\><math|A*C*D>;

    (2)\<#8BBE\><math|A*B=B*D=2>\<#FF0C\><math|\<angle\>*A*C*B=60<rsup|\<circ\>>>\<#FF0C\>\<#70B9\><math|F>\<#5728\><math|B*D>\<#4E0A\>\<#FF0C\>\<#5F53\><math|\<bigtriangleup\>*A*F*C>\<#7684\>\<#9762\>\<#79EF\>\<#6700\>\<#5C0F\>\<#65F6\>\<#FF0C\>\<#6C42\><math|C*F>\<#4E0E\>\<#5E73\>\<#9762\><math|A*B*D>\<#6240\>\<#6210\>\<#89D2\>\<#7684\>\<#6B63\>\<#5F26\>\<#503C\>\<#FF0E\>

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    <item>\<#67D0\>\<#5730\>\<#7ECF\>\<#8FC7\>\<#591A\>\<#5E74\>\<#7684\>\<#73AF\>\<#586B\>\<#6CBB\>\<#7406\>\<#FF0C\>\<#5DF2\>\<#5C06\>\<#5C31\>\<#5C71\>\<#6539\>\<#9020\>\<#6210\>\<#4E86\>\<#7EFF\>\<#6C34\>\<#9752\>\<#5C71\>.\<#4E3A\>\<#4F30\>\<#8BA1\>\<#4E00\>\<#6797\>\<#533A\>\<#67D0\>\<#79CD\>\<#6811\>\<#6728\>\<#7684\>\<#603B\>\<#6750\>\<#79EF\>\<#91CF\>\<#FF0C\>\<#968F\>\<#673A\>\<#9009\>\<#53D6\>\<#4E86\><math|10>\<#68F5\>\<#8FD9\>\<#79CD\>\<#6751\>\<#6728\>\<#FF0C\>\<#6D4B\>\<#91CF\>\<#6BCF\>\<#68F5\>\<#6751\>\<#7684\>\<#6839\>\<#90E8\>\<#6A2A\>\<#622A\>\<#800C\>\<#79EF\>(\<#5FC3\>\<#4F4D\>\<#FF1A\><math|m<rsup|2>>)\<#548C\>\<#6750\>\<#79EF\>\<#91CF\><math|<around|(|m<rsup|3>|)>>\<#FF0C\>\<#5F97\>\<#5230\>\<#5982\>\<#4E0B\>\<#6570\>\<#636E\>\<#FF1A\>

    <block*|<tformat|<table|<row|<cell|\<#6837\>\<#672C\>\<#53F7\><math|i>>|<cell|1>|<cell|2>|<cell|3>|<cell|4>|<cell|5>|<cell|6>|<cell|7>|<cell|8>|<cell|9>|<cell|10>|<cell|\<#603B\>\<#548C\>>>|<row|<cell|\<#6839\>\<#90E8\>\<#6A2A\>\<#622A\>\<#9762\>\<#79EF\><math|x
    <rsub|i>>>|<cell|0.04>|<cell|0.06>|<cell|0.04>|<cell|0.08>|<cell|0.08>|<cell|0.05>|<cell|0.05>|<cell|0.07>|<cell|0.07>|<cell|0.06>|<cell|0.6>>|<row|<cell|\<#6750\>\<#79EF\>\<#91CF\><math|y<rsub|i>>>|<cell|0.25>|<cell|0.40>|<cell|0.22>|<cell|0.54>|<cell|0.51>|<cell|0.34>|<cell|0.36>|<cell|0.46>|<cell|0.42>|<cell|0.40>|<cell|3.9>>>>>

    \<#5E76\>\<#8BA1\>\<#7B97\>\<#5F97\><math|<big|sum><rsup|10><rsub|i=1>x<rsub|i><rsup|2>=0.038>\<#FF0C\><math|<big|sum><rsup|10><rsub|i=1>y<rsup|2><rsub|i>=1.6158>\<#FF0C\><math|<big|sum><rsup|10><rsub|i=1>x<rsub|i>*y<rsub|i>=0.2474>\<#FF0E\>

    (1)\<#4F30\>\<#8BA1\>\<#8BE5\>\<#6797\>\<#533A\>\<#8FD9\>\<#79CD\>\<#6811\>\<#6728\>\<#5E73\>\<#5747\>\<#4E00\>\<#68F5\>\<#7684\>\<#6839\>\<#90E8\>\<#6A2A\>\<#622A\>\<#9762\>\<#79EF\>\<#4E0E\>\<#5E73\>\<#5747\>\<#4E00\>\<#68F5\>\<#7684\>\<#6750\>\<#79EF\>\<#91CF\>\<#FF1A\>

    (2)\<#6C42\>\<#8BE5\>\<#6797\>\<#533A\>\<#8FD9\>\<#79CD\>\<#6811\>\<#6728\>\<#7684\>\<#6839\>\<#90E8\>\<#6A2A\>\<#622A\>\<#9762\>\<#79EF\>\<#4E0E\>\<#6750\>\<#79EF\>\<#91CF\>\<#7684\>\<#6837\>\<#672C\>\<#76F8\>\<#5173\>\<#7CFB\>\<#6570\>(\<#7CBE\>\<#786E\>\<#5230\>0.01);

    (3)\<#73B0\>\<#6D4B\>\<#91CF\>\<#4E86\>\<#8BE5\>\<#6797\>\<#533A\>\<#6240\>\<#6709\>\<#8FD9\>\<#79CD\>\<#6811\>\<#6728\>\<#7684\>\<#6839\>\<#90E8\>\<#6A2A\>\<#622A\>\<#9762\>\<#79EF\>\<#FF0C\>\<#5E76\>\<#5F97\>\<#5230\>\<#6240\>\<#6709\>\<#8FD9\>\<#79CD\>\<#6811\>\<#6728\>\<#7684\>\<#6839\>\<#90E8\>\<#6A2A\>\<#622A\>\<#9762\>\<#79EF\>\<#603B\>\<#548C\>\<#4E3A\><math|186*m<rsup|2>>.\<#5DF2\>\<#77E5\>\<#6811\>\<#6728\>\<#7684\>\<#6750\>\<#79EF\>\<#91CF\>\<#4E0E\>\<#5176\>\<#6839\>\<#90E8\>\<#6A2A\>\<#622A\>\<#9762\>\<#79EF\>\<#8FD1\>\<#4F3C\>\<#6210\>\<#6B63\>\<#6BD4\>.\<#5229\>\<#7528\>\<#4EE5\>\<#4E0A\>\<#6570\>\<#636E\>\<#7ED9\>\<#51FA\>\<#8BE5\>\<#6797\>\<#533A\>\<#8FD9\>\<#79CD\>\<#6811\>\<#6728\>\<#7684\>\<#603B\>\<#6750\>\<#79EF\>\<#91CF\>\<#7684\>\<#4F30\>\<#8BA1\>\<#503C\>\<#FF0E\>

    \<#9644\>\<#FF1A\>\<#76F8\>\<#5173\>\<#7CFB\>\<#6570\><math|r=<frac|<big|sum><rsup|n><rsub|i=1><around*|(|x<rsub|i>-<wide|x|\<bar\>>|)>*<around*|(|y<rsub|i>-<wide|y|\<bar\>>|)>|<sqrt|<big|sum><rsup|n><rsub|i=1><around*|(|x<rsub|i>-<wide|x|\<bar\>>|)><rsup|2>*<big|sum><rsup|n><rsub|i=1><around*|(|y<rsub|i>-<wide|y|\<bar\>>|)><rsup|2>>>>\<#FF0C\><math|<sqrt|1.896>\<approx\>1.377>\<#FF0E\><vspace|5cm>

    <item>\<#5DF2\>\<#77E5\>\<#692D\>\<#5706\><math|E>\<#7684\>\<#4E2D\>\<#5FC3\>\<#4E3A\>\<#5750\>\<#6807\>\<#539F\>\<#70B9\>\<#FF0C\>\<#5BF9\>\<#79F0\>\<#8F74\>\<#4E3A\><math|x>\<#8F74\>\<#FF0C\><math|y>\<#8F74\>\<#FF0C\>\<#4E14\>\<#8FC7\><math|A*<around|(|0,-2|)>>\<#FF0C\>
    <math|B*<around|(|<frac|3|2>,-1|)>> \<#4E24\>\<#70B9\>.

    (1)\<#6C42\><math|E>\<#7684\>\<#65B9\>\<#7A0B\>;

    (2)\<#8BBE\>\<#8FC7\>\<#70B9\><math|P<around|(|1,-2|)>>\<#7684\>\<#76F4\>\<#7EBF\>\<#4EA4\><math|E>\<#4E8E\><math|M>\<#FF0C\><math|N>\<#4E24\>\<#70B9\>\<#FF0C\>\<#8FC7\><math|M>\<#4E14\>\<#5E73\>\<#884C\>\<#4E8E\><math|x>\<#7684\>\<#76F4\>\<#7EBF\>\<#4E0E\>\<#7EBF\>\<#6BB5\><math|A*B>\<#4EA4\>\<#4E8E\>\<#70B9\><math|T>\<#FF0C\>\<#70B9\><math|H>\<#6EE1\>\<#8DB3\><math|<wide|M*T|\<wide-varrightarrow\>>=<wide|T*H|\<wide-varrightarrow\>>>\<#FF0C\>\<#8BC1\>\<#660E\>\<#FF1A\>\<#76F4\>\<#7EBF\><math|H*N>\<#8FC7\>\<#5B9A\>\<#70B9\>\<#FF0E\><vspace|5cm>

    <item>\<#5DF2\>\<#77E5\>\<#51FD\>\<#6570\><math|f<around|(|x|)>=<math-up|ln><around|(|1+x|)>+a*x*e<rsup|-x>>\<#FF0E\>

    (1)\<#5F53\><math|a=1>\<#65F6\>\<#FF0C\>\<#6C42\>\<#66F2\>\<#7EBF\><math|f<around|(|x|)>>\<#5728\>\<#70B9\><math|<around|(|0,f<around|(|0|)>|)>>\<#5904\>\<#7684\>\<#5207\>\<#7EBF\>\<#65B9\>\<#7A0B\>\<#FF1A\>

    (2)\<#82E5\><math|f<around|(|x|)>>\<#5728\>\<#533A\>\<#95F4\><math|<around|(|-1,0|)>>\<#FF0C\><math|<around|(|0,+\<infty\>|)>>\<#5404\>\<#6070\>\<#6709\>\<#4E00\>\<#4E2A\>\<#96F6\>\<#70B9\>\<#FF0C\>\<#6C42\><math|a>\<#7684\>\<#53D6\>\<#503C\>\<#8303\>\<#56F4\>\<#FF0E\><vspace|5cm>
  </enumerate-numeric>

  (\<#4E8C\>) \<#9009\>\<#8003\>\<#9898\>\<#FF1A\>\<#5171\> 10 \<#5206\>

  <\enumerate>
    <assign|item-nr|21><item>\<#5728\>\<#76F4\>\<#89D2\>\<#5750\>\<#6807\>\<#7CFB\><math|x*O*y>\<#4E2D\>\<#FF0C\>\<#66F2\>\<#7EBF\><math|C>\<#7684\>\<#65B9\>\<#7A0B\>\<#4E3A\><math|<around*|{|<tabular*|<tformat|<cwith|1|-1|1|1|cell-halign|l>|<cwith|1|-1|1|1|cell-lborder|0ln>|<cwith|1|-1|1|1|cell-rborder|0ln>|<table|<row|<cell|x=<sqrt|3><math-up|cos>2*t>>|<row|<cell|y=2<math-up|sin>t>>>>>|\<nobracket\>>(t>\<#4E3A\>\<#53C2\>\<#6570\><math|)>.\<#4EE5\>\<#5750\>\<#6807\>\<#539F\>\<#70B9\>\<#4E3A\>\<#6781\>\<#70B9\>\<#FF0C\><math|x>\<#8F74\>\<#6B63\>\<#534A\>\<#8F74\>\<#4E3A\>\<#6781\>\<#8F74\>\<#5EFA\>\<#7ACB\>\<#6781\>\<#5750\>\<#6807\>\<#7CFB\>\<#FF0C\>\<#5DF2\>\<#77E5\>\<#76F4\>\<#7EBF\><math|l>\<#7684\>\<#6781\>\<#5750\>\<#6807\>\<#65B9\>\<#7A0B\>\<#4E3A\><math|\<rho\><math-up|sin><around|(|\<theta\>+<frac|\<pi\>|3>|)>+m=0>\<#FF0E\>

    (1)\<#5199\>\<#51FA\><math|l>\<#7684\>\<#76F4\>\<#89D2\>\<#5750\>\<#6807\>\<#65B9\>\<#7A0B\>\<#FF1A\>

    (2)\<#82E5\><math|l>\<#4E0E\><math|C>\<#6709\>\<#516C\>\<#5171\>\<#70B9\>\<#FF0C\>\<#6C42\><math|m>\<#7684\>\<#53D6\>\<#503C\>\<#8303\>\<#56F4\>\<#FF0E\><vspace|5cm>

    <item>\<#5DF2\>\<#77E5\><math|a.*b.*c>\<#4E3A\>\<#6B63\>\<#6570\>\<#FF0C\>\<#4E14\><math|a<rsup|<frac|3|2>>+b<rsup|<frac|3|2>>+c<rsup|<frac|3|2>>=1>\<#FF0C\>\<#8BC1\>\<#660E\>\<#FF1A\>

    \ <math|<around|(|1|)>*a*b*c\<leq\><frac|1|9>>;

    <math|<around|(|2|)><frac|a|b+c>+<frac|b|a+c>+<frac|c|a+b>\<leq\><frac|1|2*<sqrt|a*b*c>>>.<vspace|5cm>
  </enumerate>

  \;

  \;
</body>

<initial|<\collection>
</collection>>